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    Consistency checking is equivalent to the canonical NP-co... — Carmelics
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    Home/Modality & Possibility
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    Supports→Deciding logical validity and consistency are computationally intractable tasks for normal epistemic agents.

    Consistency checking is equivalent to the canonical NP-complete problem SAT.

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    Related propositions within the same area of thought.
    Any standard proof system such as natural deduction contains infinitely many sta...Deciding logical validity and consistency are computationally intractable tasks ...Deciding whether a formula is a propositional tautology is coNP-complete.The Cobham-Edmonds thesis, together with expected positive answers to the releva...

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    Consistency checking is a re-description of the canonical NP-complete ...98%Consistency checking for propositional logic is equivalent to the cano...89%If a problem is NP-complete and in P, then P = NP79%NP-complete problems are computationally intractable under the Cobham-...79%

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    [53] And from this it follows that such orders cannot be reached from below by a sorties-like sequence of feasible orders of growth \(O(1) \prec O(n) \prec O(n^2) \prec O(n^3) \ldots\) When analyzed according to the Cobham-Edmonds thesis, it hence appears that the ‘naive’ notion of feasible computability does not suffer from the sort of instability which Dummett takes to plague the notion of a feasibly constructible number. These observations point to another theme within the writings of some st

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